Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).

Question

Part A: Find the length of each side of the triangle. Show your work. (4 points)

Part B: Find the slope of each side of the triangle. Show your work. (3 points)

Part C: Classify the triangle. Explain your reasoning. (3 points) 

Answer 1

Use the distance formula to find the length of each side of the triangle with endpoints (x1,y1) and (x2,y2)

sqrt((x2-x1)^2 + (y2-y1)^2)

Use the slope formula to find the slope between of each side of the triangle with endpoints (x1,y1) and (x2,y2):

(y2-y1)/(x2-x1)

a triangle is equilateral if all sides are of equal length; isosceles if two sides are of equal length, otherwise, it is scalene.